English

Characteristic times for thermal wave packets in dissipative Bohmian mechanics: the parabolic repeller

Quantum Physics 2018-10-03 v1

Abstract

Thermal wave packets are used to analyze transmission probabilities and characteristic times through a parabolic repeller within the dissipative Bohmian mechanics. Thermal arrival, dwelling, transmission and reflection times are defined and calculated by using a Maxwell-Boltzmann distribution for the initial velocities of the incident particles. The dissipation is considered within the Caldirola-Kanai and Kostin approaches where a linear and nonlinear framework is used, respectively. The initial parameters are chosen to have only a dissipative tunnelling dynamics at zero temperature; at any nonzero temperature, transmission proceeds not only via tunnelling.

Keywords

Cite

@article{arxiv.1810.01318,
  title  = {Characteristic times for thermal wave packets in dissipative Bohmian mechanics: the parabolic repeller},
  author = {S. V. Mousavi and S. Miret-Artés},
  journal= {arXiv preprint arXiv:1810.01318},
  year   = {2018}
}